Results 41 to 50 of about 38,556 (257)
Discontinuous Galerkin approach for two-parametric convection-diffusion equation with discontinuous source term [PDF]
In this article, we explore the discontinuous Galerkin finite element method for two-parametric singularly perturbed convection-diffusion problems with a discontinuous source term.
K. R. Ranjan, S. Gowrisankar
doaj +1 more source
An hybridizable discontinuous Galerkin method of arbitrary high order is formulated to solve the miscible displacement problem in porous media. The spatial discretization is combined with a sequential algorithm that decouples the flow and the transport ...
Maurice S. Fabien +2 more
doaj +1 more source
In this work, we apply a time-space adaptive discontinuous Galerkin method using the elliptic reconstruction technique with a robust (in P\'eclet number) elliptic error estimator in space, for the convection dominated parabolic problems with non-linear ...
Karasözen, Bülent, Uzunca, Murat
core +1 more source
On discontinuous Galerkin methods
AbstractDiscontinuous Galerkin methods have received considerable attention in recent years for problems in which advection and diffusion terms are present. Several alternatives for treating the diffusion and advective fluxes have been introduced. This report summarizes some of the methods that have been proposed.Several numerical examples are included
Zienkiewicz, OC +3 more
openaire +5 more sources
Volume Quantization with Flexible Singularities for Hexahedral Meshing
Abstract We present a novel algorithm for quantization and subsequent hexahedral mesh generation from seamless volumetric maps. Quantization is the process of choosing integers that represent the numbers of hexahedral elements to be placed in each region of the volume, and transforming the seamless map into an integer‐grid map matching that choice ...
H. Brückler, M. Campen
wiley +1 more source
High Order Discontinuous Galerkin Method [PDF]
Standard continuous Galerkin-based finite element methods have poor stability properties when applied to transport-dominated flow problems, so excessive numerical stabilization is needed.
Stamm, Benjamin
core
ABSTRACT In this work, we present an anisotropic multi‐goal error control based on the dual weighted residual (DWR) method for time‐dependent convection–diffusion–reaction (CDR) equations. Motivated by former work, we combine multiple goals to single error functionals with weights chosen as algorithmic parameters.
Markus Bause +5 more
wiley +1 more source
Modeling Floating Potential Conductors Using Discontinuous Galerkin Method
Isolated conductors appear in various electrostatic problems. In simulations, an equipotential condition with an undefined/floating potential value is enforced on the surface of isolated conductors.
Liang Chen, Ming Dong, Hakan Bagci
doaj +1 more source
Introduction. In this article, the problem of temperature distribution in an oil-bearing formation with a hydraulic fracture and a vertical injection well is numerically modeled. Materials and Methods. To describe the process of temperature distribution
Ruslan V. Zhalnin +3 more
doaj +1 more source
Discontinuous Galerkin methods with Trefftz approximations
14 pages, 12 figures, preprint submitted at J Comput ...
Fritz Kretzschmar +3 more
openaire +2 more sources

